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Finding the Third Proportional to 87,904 and 136,226

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Solution

The third proportional to 87,904 and 136,226 is: 211,111.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,904 : 136,226 = 136,226 : x
  2. Step 2: Convert to fraction form
    87,904/136,226 = 136,226/x
  3. Step 3: Cross multiply
    87,904x = 136,226 × 136,226
  4. Step 4: Simplify right side
    87,904x = 18,557,523,076
  5. Step 5: Solve for x
    x = 18,557,523,076/87,904
  6. Step 6: Final answer
    x = 211,111.25

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.